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Finding the Fourth Proportional to 499,651.56, 689,585.88 and 281,904.94

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Solution

The fourth proportional to 499,651.56, 689,585.88 and 281,904.94 is: 389,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,651.56 : 689,585.88 = 281,904.94 : x
  2. Step 2: Convert to fraction form
    499,651.56/689,585.88 = 281,904.94/x
  3. Step 3: Cross multiply
    499,651.56x = 689,585.88 × 281,904.94
  4. Step 4: Simplify right side
    499,651.56x = 194,397,666,126.25
  5. Step 5: Solve for x
    x = 194,397,666,126.25/499,651.56
  6. Step 6: Final answer
    x = 389,066.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.